For Problems #1 through #9, consider the following context: According to recent published reports, approximately 10% of American registered nurses are men. A major medical center that recruits nationally and has an employee pool that reflects the current national demographic trends within the profession has 400 registered nurses on staff full-time. Let the random variable, x, represent the number of full-time male registered nurses found in this population at this major medical center. [COMMENTS & HINTS: What discrete probability distribution best describes this context? Express all probabilities in decimal form, rounded to four decimal places: #.####]

#1: What is the expected number (i.e., population mean) number of full-time male nurses anticipated from a population of this size?

#2: What is the population standard deviation?

#3: What is the population variance?

#4: What is the likelihood that exactly 36 full-time registered nurses will be male?

#5: What is the chance that the number of full-time male registered nurses is not 46?

#6: What is the probability that the number of full-time male registered nurses is either 44 or 45?

#7: What is the chance that the number of full-time male registered nurses is no more than 40?

#8: What is the likelihood that the number of full-time male registered nurses is at least 38 but no more than 42?

#9: What is the chance the number of full-time male registered nurses is at least 51?

So, for #1 I put 0.10 but it was marked wrong.

For #2 I put 0.3 and it was marked wrong.

For #3 I put 0.09 and it was marked wrong.

For #5, 0.4841 and it was marked wrong.

For #6, 0.51595 and it was marked wrong.

For #7, 0.5000 and it was marked wrong.

For #8, 0.0160 and it was marked wrong.

For #9, 0.4641 and it was marked wrong.

Help :(